Results 81 to 90 of about 1,197 (175)

Some fixed point results on ultrametric spaces endowed with a graph

Demonstratio Mathematica
The present article deals with new fixed point theorems by means of GG-strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the results
Acar Özlem, Özkapu Aybala Sevde, Öztürk Mahpeyker   +2 more
doaj   +1 more source

Multi-Metric φ-Contractions on Quadrilaterals with Applications to Fractional Boundary-Value Problems

Mathematics
In this paper, we introduce a general class of quadrilateral total pairwise φ-contractions and investigate fixed-point results for such mappings in metric and semimetric spaces endowed with multiple distinct metrics.
Ravindra K. Bisht, Manuel De La Sen
doaj   +1 more source

Center of Distances of Ultrametric Spaces Generated by Labeled Trees

Mathematics
The center of distances of a metric space (X,d) is the set C(X) of all t∈R+ for which the equation d(x,p)=t has a solution for each p∈X. We prove that the equalities C(X)={0} or C(X)={0,diamX} hold if (X,d) is an ultrametric space generated by labeled ...
Oleksiy Dovgoshey, Olga Rovenska
doaj   +1 more source

Mathematical Representations of Matte Blanco’s Bi- Logic, based on Metric Space and Ultrametric or Hierarchical Topology: Towards Practical Application

Language and Psychoanalysis, 2014
The Chilean psychoanalyst Ignacio Matte Blanco developed theories of subconscious processes and their relationship with conscious reasoning. This work, in the book The Unconscious and Infinite Sets: An Essay in Bi-Logic published in 1975, uses ...
Fionn Murtagh
doaj   +1 more source

A GEOMETRIC STUDY OF WASSERSTEIN SPACES: ULTRAMETRICS [PDF]

Mathematika, 2014
We study the geometry of the space of measures of a compact ultrametric space X, endowed with the L^p Wasserstein distance from optimal transportation. We show that the power p of this distance makes this Wasserstein space affinely isometric to a convex subset of l^1.
openaire   +4 more sources

Discrete Frechet fuzzy metric

Математичні Студії
The Fr\'echet distance between curves in metric spaces is known to have its fuzzy counterpart. In the present note we consider the fuzzy discrete distance between sequences of points in fuzzy metric spaces. Also, discrete curves in non-Archimedean fuzzy
M. Berezkyi, O. Berezsky, M. Zarichnyi
doaj   +1 more source

Leaping through Tree Space: Continuous Phylogenetic Inference for Rooted and Unrooted Trees. [PDF]

Genome Biol Evol, 2023
Penn MJ, Scheidwasser N, Penn J, Donnelly CA, Duchêne DA, Bhatt S.   +5 more
europepmc   +1 more source

Non-ultrametric phylogenetic trees shed new light on Neanderthal introgression. [PDF]

Org Divers Evol, 2023
Tozzi A.
europepmc   +1 more source

The immersion of ultrametric spaces into Hahn spaces

Journal of Algebra, 2010
The immersion of an ultrametric space with totally ordered set of distances into a spherically complete ultrametric space was established independently by \textit{S. Priess-Crampe} and \textit{P. Ribenboim} [Abh. Math. Semin. Univ. Hamb. 67, 19--31 (1997; Zbl 0887.54029)] and by \textit{E. Schörner} [Result. Math. 29, No.~3--4, 361--370 (1996; Zbl 0866.
openaire   +2 more sources

Trees and ultrametric spaces: a categorical equivalence

Advances in Mathematics, 2004
A well-known correspondence between infinite trees and ultrametric spaces exists, which takes into account the end space of the tree. The present paper deeply analyzes this correspondence in terms of categories, by introducing suitable categories that capture the geometry of trees at infinity and the micro-geometry of ultrametric spaces.
openaire   +2 more sources